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Finding the Third Proportional to 117,564,259.50 and 186,772,536

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Solution

The third proportional to 117,564,259.50 and 186,772,536 is: 296,722,663.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,564,259.50 : 186,772,536 = 186,772,536 : x
  2. Step 2: Convert to fraction form
    117,564,259.50/186,772,536 = 186,772,536/x
  3. Step 3: Cross multiply
    117,564,259.50x = 186,772,536 × 186,772,536
  4. Step 4: Simplify right side
    117,564,259.50x = 34,883,980,203,871,296
  5. Step 5: Solve for x
    x = 34,883,980,203,871,296/117,564,259.50
  6. Step 6: Final answer
    x = 296,722,663.44

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.